Theorems · Theorem · number theory
Nat.testBit_bit_succ
∀ (m : ℕ) (b : Bool) (n : ℕ), (Nat.bit b n).testBit m.succ = n.testBit m
- Defined in
- Mathlib.Data.Nat.Bits
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.bitstatement and proof · cited by 92
- Nat.boddproof · cited by 37
- Nat.div2_bitproof · cited by 7
- Nat.bodd_eq_one_and_ne_zeroproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Nat.lt_of_testBitproof · cited by 1
- Nat.exists_most_significant_bitproof · cited by 1
- Num.castNum_testBitproof · cited by 0
- Nat.testBit_eq_inthproof · cited by 0
- Nat.zero_of_testBit_eq_falseproof · cited by 0
- Int.testBit_bit_succproof · cited by 0